Least Common Multiple of 51/31, 69/26, 31/48, 74/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/31, 69/26, 31/48, 74/971 quickly i.e. 2690862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/31, 69/26, 31/48, 74/971 is 2690862.

LCM(51/31, 69/26, 31/48, 74/971) = 2690862

LCM of 51/31, 69/26, 31/48, 74/971

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 51/31,69/26,31/48,74/971

Given numbers are 51/31,69/26,31/48,74/971

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 51,69,31,74

Least Common Multiple of Numerators i.e. LCM of 51,69,31,74 is 2690862.

GCF of Denominators means GCF of 31,26,48,971 as per the given fractions.

GCF of 31,26,48,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,69,31,74

LCM of Fractions 51/31,69/26,31/48,74/971 is 2690862

3 51, 69, 31, 74
17, 23, 31, 74

∴ So the LCM of the given numbers is 3 x 17 x 23 x 31 x 74 = 2690862

Least Common Multiple of 51,69,31,74 with GCF Formula

Least Common Multiple of 51,69,31,74 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 51,69,31,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,69,31,74) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,69,31,74) x common factors =1 x 3 = 3

LCM(51,69,31,74) = ( 51 × 69 × 31 × 74 ) / 3

LCM(51,69,31,74) = 8072586 / 3

LCM(51,69,31,74) = 2690862


Lets's calculate GCF of 31,26,48,971

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2690862/1

Therefore the LCM of Fractions 51/31,69/26,31/48,74/971 is 2690862

Greatest Common Factor of 31,26,48,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,26,48,971 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 31,26,48,971 . The biggest common factor number is the GCF number.
So the greatest common factor 31,26,48,971 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 51/31, 69/26, 31/48, 74/971

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 51/31, 69/26, 31/48, 74/971?

Answer: LCM of Numerators as per given numbers 51/31, 69/26, 31/48, 74/971 is

LCM of Numerators i.e. for 51,69,31,74 is 2690862

GCF of denominators i.e. for 31,26,48,971 is 1.

Thus, LCM of Fractions is 2690862.Finally, LCM of Fractions for 51/31, 69/26, 31/48, 74/971 is 2690862.